Because there are less pieces the whole is split up into. For instance,
if you have 1 bag of cookies, you would get more cookies per person if
it was split between 2 people than if it was split between 10, because each person
gets more of the whole, and there's less people to split up that whole.
since you have an equal amount of pieces from each, the whole that was
split into the least pieces, or the number with the smaller denominator will be larger since the pieces will be larger
Answer:
<u><em>∛16</em></u>
Step-by-step explanation:
First, remember that the denominator always goes outside the radical and the numerator inside. so with that, it looks like this.
∛2^4
simplify.
<u><em>∛16</em></u>
Answer : Probability that the pumping system will fail on any given day = 0.005
Explanation:
Probability that only older pump fail = P(A) = 0.10
Probability that only newer pump fail = P(B) = 0.05
Since they are independent events ,
then the conditions will be
P(A∩B) = P(A). P(B)
= 0.10 ×0.05
= 0.005
Hence, the probability will fail on any given day = 0.005
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Answer:
40 bottles of juice
60 bottles of water
Step-by-step explanation:
let w represent water, let j represent juice. set up a system of equations:
w+2j=140
w+j=100
isolate the w by itself on the bottom equation:
w=100-j
solve the top equation by substitution, substituting 100-j for w:
w+2j=140
100-j+2j=140
100+j=140
j=40
this means that they bought 40 bottles of juice.
to find the amount of bottles of water the bought, substitute 40 for j in either of the equations (i did it in the bottom one, because it's easier):
w=100-j
w=100-40
w=60
so, they bought 60 bottles of water.
